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Finding the Third Proportional to 175,563 and 372,042

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Solution

The third proportional to 175,563 and 372,042 is: 788,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,563 : 372,042 = 372,042 : x
  2. Step 2: Convert to fraction form
    175,563/372,042 = 372,042/x
  3. Step 3: Cross multiply
    175,563x = 372,042 × 372,042
  4. Step 4: Simplify right side
    175,563x = 138,415,249,764
  5. Step 5: Solve for x
    x = 138,415,249,764/175,563
  6. Step 6: Final answer
    x = 788,407.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.